3
QuizMultiple Choice

Applications with the Volume of a Cone — Quiz

Question 3 • Foundations of Math 1

The volume of a cone is 108 pi cubic inches. Its height is 4 inches. What is the radius of the cone? Round the answer to the nearest tenth if necessary.

Answer
A
5 point 2 in.
B
9 in.
C
81 in.
D
34 point 7 in.

Explanation

Use the cone volume formula, V = (1/3)πr²h. Substituting V = 108π and h = 4 gives 108π = (4/3)πr², so r² = 81 and r = 9 inches. The radius is positive, so the correct choice is 9 in.

AI-written and checked against the verified answer.

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